ALG2 – Ch 3 / Ch 8 Test Review Worksheet
1)
48 x 5 y 3 x 2 y
 3 2
y4
6x y
2)
x  5 2 x 2  32

4 x  16 x 2  25
Name:
Date______ Per___
3)
4)
5)
7.
Solve for x:
8.
Solve for y:
9.
Solve for x:
6)
x 2  3x  4 2 x 2  4 x

x 2  4x  4 x 2  4x  3
ALG2 – Ch 3 / Ch 8 Test Review Worksheet
10.
2

Solve for x: x  3
Name:
Date______ Per___
1
x  2x  3
2
For problems number 11-16, in addition to solving each system of equations, label each
system as a) consistent and independent, b) consistent and dependent or c) inconsistent.
11.
Solve the following system using the elimination method:
3x  2 y  2
2 x  y   2
12.
Solve the following system using the substitution method:
8x  2 y  2
x  3 y  14
13.
Solve the following system using the elimination method:
5x – 2y = 11
4x + 5y = 22
ALG2 – Ch 3 / Ch 8 Test Review Worksheet
14.
Name:
Date______ Per___
Solve the following system using the substitution method.
y  4x  5
4 x   y  2
15.
Solve the following system using the substitution method.
4x – 3y = 14
6x – 2y = 16
16.
Solve the following system using the elimination method.
-3x + 5y = 11
9x – 15y = -33
For numbers 17-18, solve the systems using the Graphing Method. Classify using vocabulary.
17.
y = 3x – 5
y = -2x + 5
18.
4x – y = 5
x – 2y = -11
For problems 19 – 22, solve the word problems by setting up a system of equations (2 equations with 2
variables), and solving it.
19. There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all.
How many of each animal are there?
20. Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3
adult tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8
adult tickets and 5 child tickets. What is the price each of one adult ticket and one child ticket?
21. A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find
the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45
students.
22. Amy has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. How many of
each coin does Amy have?